Resultant of Non-Concurrent Force System

Tags: 
non-concurrent forces
moment arm
x-intercept of a force
y-intercept of a force
non-parallel forces

The resultant of non-concurrent force system is defined according to magnitude, inclination, and position.
 

The magnitude of the resultant can be found as follows

$ R_x = \Sigma F_x $

$ R_y = \Sigma F_y $

$ R = \sqrt{{R_x}^2 + {R_y}^2} $

 

The inclination from the horizontal is defined by

$ \tan \theta_x = \dfrac{R_y}{R_x} $

 

The position of the resultant can be determined according to the principle of moments.

$ M_R = \Sigma M_O $

$ Rd = M_R $

$ R_yi_x = M_R $

$ R_xi_y = M_R $

 

Where,
Fx = component of forces in the x-direction
Fy = component of forces in the y-direction
Rx = component of thew resultant in x-direction
Ry = component of thew resultant in y-direction
R = magnitude of the resultant
θx = angle made by a force from the x-axis
MO = moment of forces about any point O
d = moment arm
MR = moment at a point due to resultant force
ix = x-intercept of the resultant R
iy = y-intercept of the resultant R
 

»
SPONSORED LINKS


Page copy protected against web site content infringement by Copyscape

Recent comments